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What are the actual numbers for acquiring a shiny through the dexnav chain method? I have scoured the internet and the closest thing that I have found was this.

The chance of encountering a Shiny Pokémon also increases, estimated
to reach 0.5% per encounter after 40 chained encounters, and remain at
that rate as long as the chain continues. There is thus a 50% chance
of encountering a Shiny Pokémon in the first (roughly) 130 chained
encounters. A chain is broken when the player leaves the area
(including entering a building), encounters a wild Pokémon that isn't
hidden, or moves too quickly and scares away a hidden Pokémon. Hidden
Pokémon can be encountered for a chain either with or without the
Search function. Getting the message "The Pokémon couldn't be found.
Try looking in a different area!" when using the Search function does
not break the chain.

I am confident that I am doing the chain correctly but have been unsuccessful after making several chains that go well over 200. Any assistance would be greatly appreciated.

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Those appear to be the actual numbers. Also, it did say
> There is thus a 50% chance of encountering a Shiny Pokémon in the first (roughly) 130 chained encounters.

"Roughly" means that the 50% mark lies around that point, mathematically. It could be anywhere as low as 120, or as high as 160. The fact that you still haven't found a Shiny is just a roll of the dice – no matter how favourable your odds are, there is still a chance of failure. Just keep chaining, and you'll get that Shiny. I commend you on having the patience to chain 200+ Pokémon, I was chaining fora Bold HA Tangela and only found two in 60, and neither was Bold. So I gave up and decided to breed for it.

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Thanks for the reassurance. I did finally manage to capture the ralts after a few more attempts on a chain of 32.
Im at 123 chained for an absol and still no luck; i thought the chances got better the more you chained and didnt realise it capps at 0.5% :( that sucks! not to mention ive encountered it 600 times and still no luck